which equation in point-slope from is equivalent to y=-3/4x + 9?
A. y-9=-3/4(x-0)
B. y-1=-3/4(x-9)
C. y-3/4=9(x-0)
D. y-1=9(x+3/4)

The monthly payment would be an amount of $163.875.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

As per the given question, we have

Here P = $1900 , r = 3.5%, and T = 1 years

The total payback = P× r/100 × T + P

The total payback = 1900 × 3.5/100 × 1 + 1900

The total payback = 1900 × 0.04 × 4 + 1900

Apply the multiplication operation, and we get

The total payback = $1966.5

The total payback of the borrowings will be $1966.5 over a one-year period. The monthly payment for this will be,

The monthly payment = Total payback / No. of payment

The monthly payment = 1966.5/12

The monthly payment = $163.875

Therefore, the monthly payment would be an amount of $163.875.

Learn more about the monthly payments here:

https://brainly.com/question/20761642

#SPJ1

The total distance in miles Mars travels throughout its complete orbit will be 888 × 10⁶ miles.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, If Mars travels at 24,126 meters per second in orbit around the Sun and takes 1.88 earth years to complete its orbit,

First, we have to convert the unit from earth year to second obtained as,

1.88 earth year=  59287680 second

As we know that the distance is the multiplication of the speed and the time

Distance = speed × Time

Distance =24,126 m/sec ×  59287680 second

Distance = 1.4 × 10¹² m

If 1 meter consists of 0,000621371 miles, the obtained distance is in miles.

1 metere = 0,000621371 miles

1.4 × 10¹² m=888 × 10⁶ miles

Thus, the total distance in miles Mars travels throughout its complete orbit will be 888 × 10⁶ miles.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

The  quantity of hydrocortisone powder, in g, should be entered on the compounding record as 56.7 g

Generally, To determine the quantity of hydrocortisone powder to be used in the compounding of this prescription, you will need to know the percentage of the final preparation that will be made up of hydrocortisone.

Since the prescription calls for a 1:1 mixture of hydrocortisone cream and Aquaphor, and the final quantity is to be 4 oz, each component will make up half of the final preparation. Therefore, the final preparation will be 50% hydrocortisone.

To determine the quantity of hydrocortisone powder needed, you will need to multiply the final desired quantity of the preparation by the percentage of the preparation that is made up of hydrocortisone. In this case, the desired final quantity is 4 oz, and the preparation is 50% hydrocortisone, so the calculation is:

4 oz * 50% = 2 oz

Since there are 28.35 grams in an ounce, the total quantity of hydrocortisone powder needed in grams is:

2 oz * 28.35 g/oz = 56.7 g

Therefore, you should enter a quantity of 56.7 g of hydrocortisone powder on the compounding record for this prescription.

Read more about prescription

https://brainly.com/question/9537464

#SPJ1

The time required for the sloth to travel an 11.5-meter tree is

171.64 seconds.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A sloth is traveling at its top speed of 0.067 m/s.

∴ The time required for the sloth to travel an 11.5-meter tree is,

= (11.5/0.067) secs.

= 171.64 seconds.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ1

The standard error is decreasing on increasing number of Sample.

What is the standard error?

The population mean and sample mean are likely to deviate from one another, and the standard error of the mean, or simply standard error, shows how likely this is.

                    If a study were to be repeated using fresh samples drawn from a single population, it would be possible to calculate how much the sample mean would change.

The standard error is represented by a σ because it is a standard deviation. The subscript (M) indicates that the standard error in question is the standard error of the mean.

Now we will get the standard error for the following situations:

(a) σ_M = 12/√4 = 6

(b) σ_M = 12/√16 = 3

(c) σ_M = 12/√64 = 1.5

Hence from here, we can conclude that the standard error is decreasing on increasing number of Sample.

Learn more about standard error

brainly.com/question/13179711

#SPJ1

Answer:

[tex] \frac{(3x(x - 3))}{(x - 3)(x + 1)} = \frac{3x}{x + 1} [/tex]

A) The vertex (h, k)=(9, 0) if  p(x)=[x-9]

B) The vertex (h, k)=(0, 9) if q(x)= [x]+9

The earliest known treatment of the idea of function can be found in the writings of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were originally merely a simplified illustration of the relationship between two varying quantities. The position of a planet is just one example of how time is used. The concept was historically developed towards the end of the 17th century with infinitesimal calculus, and the functions that were taken into consideration up until the 19th century. The concept of a function was formalised in terms of set theory at the end of the 19th century, greatly extending its range of applications.

Given,

A) p(x)=[x-9]

We have to compare with f(x)=a|x-h|+k

Therefore, the vertex (h, k)=(9, 0)

B) Given,

q(x)= [x]+9

We have to compare with the above equation we get,

The vertex (h, k)=(0, 9)

To know more about function, visit:

https://brainly.com/question/29633660

#SPJ1

Email your manager to notify her that you are running over on a call and ask her what should you do.

As my manager now knows that I am running over on a call, she could allow me to have a lunch break of whatever time I invested in the taxpayer's call. By doing this, both the taxpayer and I can be stress free.

What Is a Taxpayer?

A taxpayer is anybody who owes taxes to the federal, state, or municipal governments, whether they are an individual or a corporation. Governments primarily obtain their funding through taxes, which are levied on both citizens and companies.

According to the rules of the Income Tax Act, a taxpayer is a person or a business that pays taxes on its income each year. It becomes lawful after you file income tax returns and reveal your revenues.

To learn more about Taxpayer visit:https://brainly.com/question/29664276

#SPJ1

The equation of the line is y=3÷5x+4.

Here, we need to figure out the slope of this curve.

if two lines are perpendicular to each other and both of their slopes exist, the product of their slopes is equal to -1.

k1 = -9-6÷1-(-4)

   = -5÷3

k2-k1  = -1

∴k2= 3÷5

y-1= 3÷5[x-(-5)]

y= 3÷5÷x+4

Hence, The equation of the line is y=3÷5x+4.

To learn more about slope of a curve refer to:

https://brainly.com/question/28789772

#SPJ1

The last boxplot is the one that displays the values of the distribution that is given.

The range of a function in mathematics can refer to one of two ideas that are connected in some way: Codomain for the function an illustration of the action If there is precisely one y in Y and there are two sets X and Y, then a binary relation f between X and Y is a function that connects x and y.

Here ,Given information:

6,7,9,9,20,22,26,28,29,30

N = 10 observations were made.

The base number is 6. ( least value)

Quartile lower= n+1(0.25)

term = 0.25(13) = 3.25term = 13

Median equals 0.5 (n + 1)

term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22

Upper quartile: 0.75 (13)

A term equals 9.75 a term equals 26.5

Interquartile Range (IQR) is equal to= Q3 - Q1= (26.5 - 13) = 13.5

The highest value is 30. (highest value in the distribution)

As a result, the Last boxplot is the one that shows the distribution that is given.

To know more about range , visit

https://brainly.com/question/28135761

#SPJ1

Answer:

Step-by-step explanation:

Simplify parentheses : 0.5x+0.3=2.1x+9-5.5

Combine like terms : 0.5x+0.3=2.1x+3.5

Isolate the variable : -1.6x=3.2

Divide by -1.6 on both sides : x=-2

Answer:  the answer is in the picture

have a nice one

Step-by-step explanation:

To be profitable and ensure your finances are healthy, look at both your total revenue as well as your net revenue.

To learn more about total revenue calculation refer to:

https://brainly.com/question/25623677

#SPJ1

Answer:

-25

Step-by-step explanation:

If initial sample of 458 grams of a radioactive substance decays according to the function [tex]A(t)=458e^{-0.038t}[/tex] then the half-life of the substance is 0.

Half-life is the time required for a quantity (of substance) to reduce to half of its initial value.

Given,

An initial sample of 458 grams of a radioactive substance decays according to the function

[tex]A(t)=458e^{-0.038t}[/tex]

We need to find the half life

[tex]458=458e^{-0.038t}[/tex]

Divide both sides by 458

[tex]1=e^{-0.038t}[/tex]

Take log on both sides

[tex]log1=-0.038t[/tex]

0=-0.038t

t=0

Hence, the half-life of the substance is 0.

To learn more on Half life click:

https://brainly.com/question/24710827

#SPJ1

Answer:

{red, orange , yellow}

Step-by-step explanation:

pls rate as brainliest I need to move to the next rank

The solution to the linear inequality written in set-builder notation is {m | m ∈ R and m ≥ 12 or m ≤ 9}

From the question, we are to solve the given linear inequality.

The given linear inequality is

-3 + m ≥ 9 OR 1 + 2m ≤ 19

Solving -3 + m ≥ 9

-3 + m ≥ 9

Add 3 to both sides of the equation

-3 + 3 + m ≥ 9 + 3

m ≥ 12

Solving 1 + 2m ≤ 19

1 + 2m ≤ 19

Subtract 1 from both sides of the equation

1 - 1 + 2m ≤ 19 - 1

2m ≤ 18

Divide both sides by 2

2m/2 ≤ 18/2

m ≤ 9

Thus,

m ≥ 12 OR m ≤ 9

In set-builder notation

{m | m ∈ R and m ≥ 12 or m ≤ 9}

Learn more on Solving linear inequalities here: https://brainly.com/question/24372553

#SPJ1

The required expression for the money spent is given as 25x + 14y.

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given problem can be solved as follows,

The price for each yoga mat is $25 and each yoga DVD is $14.

As per the question, the expression for the amount of money spent can be written as,

25x + 14y

The expression can be minimised to reduced the money spent.

Hence, the expression for the money spent by yoga teacher is 25x + 14y and the given expression can be minimised to reduce the total cost.

To know more about algebraic expression click on,

brainly.com/question/953809

#SPJ1

A system of equations are 9x+7y=77 and 3x+5y=49. Therefore, cost to rent each chair is $1.75 and cost to rent each table is $8.75.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

a) From the table, first costumer brought 9 chairs and 7 tables per $77

Second costumer brought 3 chairs and 5 tables per $49

Let x be the cost (in dollars) to rent a chair

Let y be the cost (in dollars) to rent a table

Here, 9x+7y=77 --------(I)

3x+5y=49 --------(II)

b) Multiply equation (II) by 3

9x+15y=147 --------(III)

Subtract equation (I) from (III), we get

9x+15y-(9x+7y)=147-77

⇒ 8y=70

⇒ y=8.75

Substitute y=8.75 in (I), we get

9x+7×8.75=77

⇒ 9x+61.25=77

⇒ 9x=77-61.25

⇒ 9x=15.75

⇒ x=1.75

Therefore, the system of linear equations are 9x+7y=77 and 3x+5y=49.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

The total money was shared = $3304

What are proportion and ratio?

Two quantities are compared to form a ratio. An equality of two ratios is a proportion. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.

Aaron, Ben, and Charles split a sum of money in the following proportions: 2: 5: 7. What was the initial amount of money shared if Charles' part was 1180 higher than Aaron's portion?

——-

Ben:::: 5x

Charles:7x

Aaron:2x

———-

7x = 2x + 1180 in the equation

5x = 1180

x = 236

————-

2x + 5x + 7x = 14x

14x = 14*236 = $3304

—————————————

Hence the total money was shared = $3304

Learn more about ratio and prportion

https://brainly.com/question/12024093

#SPJ1

When the midpoint of GH is M at (-6,-3) and one endpoint is H at (-8,-10), the coordinates of endpoint G are (-8,-10) (-4,4).

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y). a group of variables that accurately depict a stance. The first number on a graph represents the distance along, while the second number represents the distance up or down. For instance, the point (12,5) is located 12 units down and 5 units up.

Here,

let the points of G be (a,b)

mid point of GH =(-6,-3)

point of H =(-4,4)

for x coordinate,

-6=(a-4)/2

a-4 =-12

a=-8

for y coordinate,

-3=(b+4)/2

-6=b+4

b=-10

The coordinates of endpoint G is (-8,-10) when the midpoint of GH is M at (-6,-3) and one endpoint is H at (-4,4).

To know more about coordinates,

https://brainly.com/question/7869125

#SPJ1

Answer:

70

Step-by-step explanation:

I believe that since these are complementary angles, you are supposed to add two to get 180. In this case, there is a 110, so 70 more would be 180, but i could be wrong. you can delete my answer if it is wrong :(

Part A. The system of inequalities to this context is x + y ≥ 4 and

8x + 13y ≤ 90.

Part B. An example of one solution is (x, y) is (4, 4), where she buys 4 pizzas of each type which satisfies x + y ≥ 4.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

From the given information 'x' represents the number of pepperoni pizzas and 'y' represents the number of vegetarian pizzas.

Given, She wants to have at least 4 pizzas which is,

x + y ≥ 4...(1)

Also given that a pepperoni pizza costs $8.00 and a vegetarian pizza costs $13.00 and she has $90 to spend.

Therefore, 8x + 13y ≤ 90...(2)

An example of a solution is (x, y) ⇒ (4, 4) where she buys 4 pepperoni pizzas and 4 vegetarian pizzas.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ1

If the measure of the angle x is 116.89 degrees. Then the measure of the angle y will be 63.11 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

It is given that the angles x and y are supplementary angles. Then the equation is given as,

x + y = 180

If the measure of the angle x is 116.89 degrees. Then the measure of the angle y is calculated as,

x + y = 180

116.89 + y = 180

y = 180 - 116.89

y = 63.11 degrees

If the measure of the angle x is 116.89 degrees. Then the measure of the angle y will be 63.11 degrees.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

Answer:

sqrt21 is real and irrational

Step-by-step explanation:

The other answers are a repeating decimal (rational), a terminating decimal (rational) and a perfect square (an integer--so also rational)

They are all real. Numbers that are not real have the imaginary number, i, in them or a square root of a negative number.

Red books are 8 and blue books are 6.

The smallest unit of measurement is the inch (or inches, in plural). A foot is made up of twelve inches. In the metric system, one inch is equivalent to 2.54 cm. When measuring shorter distances, such the breadth of an eraser or the length of a pencil, inches are employed.

Give conditions

Total books = 11

Red book height = 1 inches

Blue book height = 2 inches

Total height = 14 inches

We assume that

8 red books and 3 blue books = 11 books { first condition is satisfied}

In inches case:

8 * 1 = 8 { red book height 1 inches}

3 * 2 = 6 {blue book height 2 inches}

total height = 8 +6 = 14 inches {second condition is satisfied}

since red books are 8 and blue books are 6.

To learn more about to inches refer to:

https://brainly.com/question/876758

#SPJ1

Answer: x=3y−5

Step-by-step explanation: 6y=2x+10

Swap sides so that all variable terms are on the left hand side.

2x+10=6y

Subtract 10 from both sides.

2x=6y−10

Divide both sides by 2.

2

2x

​ =

2

6y−10

​

Dividing by 2 undoes the multiplication by 2.

x=

2

6y−10

​

Divide 6y−10 by 2.

x=3y−5

Answer:

137.067

Step-by-step explanation:

1 percent = 15.41

0.1 percent = 1.541

8 x 15.41 = 123.28

7 x 1.541 = 10.787

123.28 + 10.787 = 137.067